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Volumn 50, Issue 11, 1997, Pages S64-S71

Dual extremum principles in finite deformation theory with applications to post-buckling analysis of extended nonlinear beam model

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BIFURCATION (MATHEMATICS); BUCKLING; FUNCTIONS; MATHEMATICAL MODELS; PHASE TRANSITIONS; SHEAR DEFORMATION; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EID: 0031275125     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3101852     Document Type: Article
Times cited : (45)

References (28)
  • 1
    • 84949692839 scopus 로고
    • On some new general and complementary energy theorems for the rate problems in finite strain, classical elasticity
    • Atluri, SN (1980), On some new general and complementary energy theorems for the rate problems in finite strain, classical elasticity, J Struct Mech, 8, 61-92
    • (1980) J Struct Mech , vol.8 , pp. 61-92
    • Atluri, S.N.1
  • 2
    • 0039360213 scopus 로고
    • Duality for non-convex variational principles
    • Auchmuty, G (1983), Duality for non-convex variational principles, J Diff Equations, vol. 50, pp 80-145
    • (1983) J Diff Equations , vol.50 , pp. 80-145
    • Auchmuty, G.1
  • 3
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • Ball, JM and James, RD (1987), Fine phase mixtures as minimizers of energy, Arch Rational Mech Anal 100, 13-52.
    • (1987) Arch Rational Mech Anal , vol.100 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 4
    • 0020588788 scopus 로고
    • On the work theorems for finite and incremental elastic deformations with discontinuous fields: A unified treatment of different versions
    • Bufler, H (1983), On the work theorems for finite and incremental elastic deformations with discontinuous fields: a unified treatment of different versions, Comput Meth Appl Mech Eng, 36, 95-124
    • (1983) Comput Meth Appl Mech Eng , vol.36 , pp. 95-124
    • Bufler, H.1
  • 7
    • 0016569455 scopus 로고
    • Equilibrium of bars
    • Eriksen, JL (1975), Equilibrium of bars, J Elasticity, 5, 191-202.
    • (1975) J Elasticity , vol.5 , pp. 191-202
    • Eriksen, J.L.1
  • 8
    • 0007039873 scopus 로고
    • Global extremum criteria for finite elasticity
    • Gao, DY (1992), Global extremum criteria for finite elasticity, ZAMP, 43, 924-937.
    • (1992) ZAMP , vol.43 , pp. 924-937
    • Gao, D.Y.1
  • 9
    • 51249169207 scopus 로고
    • Stability and extremum principles for post yield analysis of finite plasticity
    • Gao, DY (1994), Stability and extremum principles for post yield analysis of finite plasticity, Acta Mech Sinica, 10, 311-325.
    • (1994) Acta Mech Sinica , vol.10 , pp. 311-325
    • Gao, D.Y.1
  • 10
    • 0007141016 scopus 로고    scopus 로고
    • Nonlinear elastic beam theory with application in contact problems and variational approaches
    • Gao, DY (1996), Nonlinear elastic beam theory with application in contact problems and variational approaches, Mech. Research Commun. 23 (1), 11-17
    • (1996) Mech. Research Commun , vol.23 , Issue.1 , pp. 11-17
    • Gao, D.Y.1
  • 11
    • 0007134201 scopus 로고    scopus 로고
    • Finite deformation extended beam theory and nonlinear buckling analysis
    • Ed by RC Batra and MF Beatty, CIMNE, Barcelona, Spain
    • Gao, DY and Russell, DL (1996) Finite deformation extended beam theory and nonlinear buckling analysis, in Contemporary Research in the Mathematics and Mechanics of Materials Ed by RC Batra and MF Beatty, CIMNE, Barcelona, Spain, 430-441
    • (1996) Contemporary Research in the Mathematics and Mechanics of Materials , pp. 430-441
    • Gao, D.Y.1    Russell, D.L.2
  • 12
    • 0001168373 scopus 로고
    • Geometric nonlinearity: Potential energy, complementary energy and the gap function
    • Gao, DY and Strang, G (1989a), Geometric nonlinearity: Potential energy, complementary energy and the gap function, Quartl Appl Math, 47(3), 487-504
    • (1989) Quartl Appl Math , vol.47 , Issue.3 , pp. 487-504
    • Gao, D.Y.1    Strang, G.2
  • 13
    • 0039034928 scopus 로고
    • Dual extremum principles in finite deformation elastoplasitc analysis
    • Gao, DY and Strang, G (1989b), Dual extremum principles in finite deformation elastoplasitc analysis, Acta Applicandae Mathematicae, 17, 357-267
    • (1989) Acta Applicandae Mathematicae , vol.17 , pp. 357-367
    • Gao, D.Y.1    Strang, G.2
  • 14
    • 21844514943 scopus 로고
    • Multi-duality in minimal surface type problems
    • Gao, DY and Yang, WH (1995), Multi-duality in minimal surface type problems, Studies in Appl Math, 95, 127-146
    • (1995) Studies in Appl Math , vol.95 , pp. 127-146
    • Gao, D.Y.1    Yang, W.H.2
  • 15
    • 0037774411 scopus 로고
    • On the complementary energy theorem in nonlinear elasticity theory
    • Ed by G Fichera, Pitman, London
    • Koiter, WT (1976), On the complementary energy theorem in nonlinear elasticity theory, Trends in Appl of Pure Math to Mech, Ed by G Fichera, Pitman, London, pp 207-32
    • (1976) Trends in Appl of Pure Math to Mech , pp. 207-232
    • Koiter, W.T.1
  • 16
    • 0001000267 scopus 로고
    • The relaxation of a double-well energy
    • Kohn, RV (1991), The relaxation of a double-well energy, Contin Mech Thermodyn, 3, 193-236
    • (1991) Contin Mech Thermodyn , vol.3 , pp. 193-236
    • Kohn, R.V.1
  • 17
    • 0039214175 scopus 로고
    • Variational principles in finite elastics
    • Lee, SJ and Shield, RT (1980), Variational principles in finite elastics, J Appl Math Physics (ZAMP), 31, pp 437-453
    • (1980) J Appl Math Physics (ZAMP) , vol.31 , pp. 437-453
    • Lee, S.J.1    Shield, R.T.2
  • 19
    • 0042681404 scopus 로고
    • General variational principles in nonlinear and linear elasticity with applications
    • Nemat-Nasser, S (1972), General variational principles in nonlinear and linear elasticity with applications, Mechanics Today, 1, 214-61.
    • (1972) Mechanics Today , vol.1 , pp. 214-261
    • Nemat-Nasser, S.1
  • 25
    • 0030215876 scopus 로고    scopus 로고
    • The variational structure of a nonlinear theory for spatial lattices
    • Steigmann, DJ (1996), The variational structure of a nonlinear theory for spatial lattices, Meccanica, 31, 441-455
    • (1996) Meccanica , vol.31 , pp. 441-455
    • Steigmann, D.J.1
  • 27
    • 0021312707 scopus 로고
    • Complementary variational principles in elastodynamics
    • Tabarrok, B (1984), Complementary variational principles in elastodynamics, Computers & Structures, 19, 239-246
    • (1984) Computers & Structures , vol.19 , pp. 239-246
    • Tabarrok, B.1
  • 28
    • 0342726862 scopus 로고
    • On the complementary energy principle in non-linear elasticity. Part I: Von Karman plates and threedimensional solids
    • Serie II
    • Telega, JJ (1989), On the complementary energy principle in non-linear elasticity. Part I: von Karman plates and threedimensional solids, C R Acad Sci Paris, 308, Serie II, 1193-1198
    • (1989) C R Acad Sci Paris , vol.308 , pp. 1193-1198
    • Telega, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.